Compressions of compact tuples

Probability of Mutually Commuting N-Tuples in Some Classes of Compact Groups

probability of mutually commuting n-tuples in some classes of compact groups

Cohomology of the Space of Commuting N-tuples in a Compact Lie Group

Consider the space Hom(Z n , G) of pairwise commuting n-tuples of elements in a compact Lie group G. This forms a real algebraic variety, which is generally singular. In this paper, we construct a desingulariza-tion of the generic component of Hom(Z n , G), which allows us to derive formulas for its singular and equivariant cohomology in terms of the Lie algebra of a maximal torus in G and the ...

Interruption of Compressions

To begin to answer the question of whether ventilations are needed during cardiopulmonary resuscitation (CPR), Part I of this newsletter published in September showed that ventilations during cardiac arrests are not performed according to the American Heart Association (AHA) Guidelines. The high rates of ventilation increase intrathoracic pressure, decrease cardiac output and coronary perfusion...

Compressions of stable contractions

The stability of compressions of stable contractions is studied and a sufficient orbit condition is given. On the other hand, it is shown that there are non-stable compressions of the 1-dimensional backward shift and a complete characterization of weighted unilateral shifts with this property is provided. Dilations of bilateral weighted shifts to backward shifts are also considered. Mathematics...